You and four friends are in line at lunch and are each selecting a piece of fruit to eat. if there are 5 types of fruit available, what is the probability that you each select a different type?

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe